g(1) = 4, g'(1) = 3, h(1) = 2 and h'(1) = -1. If f(x) = (g(x))/(h(x)), what is f'(1)?

Derivatives & Second-Order Derivatives · Question 21 of 96

Question 21

MediumOriginal question

$g(1) = 4$ , $g'(1) = 3$ , $h(1) = 2$ and $h'(1) = -1$ . If $f(x) = \frac{g(x)}{h(x)}$ , what is $f'(1)$ ?

- \frac{5}{2}

Correct answerYour answer

\frac{1}{2}

Correct answerYour answer

\frac{5}{2}

Correct answerYour answer

5

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$-\frac{5}{2}$ puts the numerator the wrong way round, $gh' - g'h$ .

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.